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Special solutions of the Hartree-Fock (HF) problem for Coulomb interacting electrons, being described by a simple model of the Cu-O planes in La2CuO4, are presented. One of the mean field states obtained, is able to predict some of the…

Strongly Correlated Electrons · Physics 2015-05-13 Alejandro Cabo-Bizet , Alejandro Cabo-Montes-de-Oca

The density functional scheme for calculating the pair density is presented by means of the constrained-search technique. The resultant single-particle equation takes the form of the modified Hartree-Fock equation which contains the kinetic…

Strongly Correlated Electrons · Physics 2015-06-25 Masahiko Higuchi , Katsuhiko Higuchi

We study the nature of the low-lying dipole strength in neutron-rich nuclei, often associated to the Pygmy Dipole Resonance. The states are described within the Hartree-Fock plus RPA formalism, using different parametrizations of the Skyrme…

Nuclear Theory · Physics 2015-05-18 A. Vitturi , E. G. Lanza , M. V. Andrés , F. Catara , D. Gambacurta

A theoretical study of single electron capacitance spectroscopy in quantum dots is presented. Exact diagonalizations and the unrestricted Hartree-Fock approximation have been used to shed light over some of the unresolved aspects. The…

Condensed Matter · Physics 2009-10-22 J. J. Palacios , L. Martin-Moreno , G. Chiappe , E. Louis , C. Tejedor

The nucleon mean-field potential has been thoroughly investigated in an extended Hartree-Fock (HF) calculation of nuclear matter (NM) using the CDM3Y3 and CDM3Y6 density dependent versions of the M3Y interaction. The single-particle (s/p)…

Nuclear Theory · Physics 2015-08-25 Doan Thi Loan , Bui Minh Loc , Dao T. Khoa

Ground state energies and decay widths of particle unstable nuclei are calculated within the Hartree-Fock approximation by performing a complex scaling of the many-body Hamiltonian. Through this transformation, the wave functions of the…

Nuclear Theory · Physics 2009-01-23 A. T. Kruppa , P. -H. Heenen , H. Flocard , R. J. Liotta

We use a Hartree-Fock-Koopmans approach to study spin and interaction effects in a diffusive or chaotic quantum dot. In particular, we derive the statistics of the spacings between successive Coulomb-blockade peaks. We include fluctuations…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Y. Alhassid , S. Malhotra

Using a recently developed effective field theory for the interactions of nucleons at non-relativistic energies, we calculate non-perturbatively Coulomb corrections to proton-proton scattering. Including the dimension-eight derivative…

High Energy Physics - Phenomenology · Physics 2009-10-31 Xinwei Kong , Finn Ravndal

The inclusion of nucleonic exchange energy has been a long-standing challenge for the relativistic density functional theory (RDFT) in nuclear physics. We propose an orbital-dependent relativistic Kohn-Sham density functional theory to…

Nuclear Theory · Physics 2023-04-26 Qiang Zhao , Zhengxue Ren , Pengwei Zhao , Tae-Sun Park

Density functionals with a range-separated treatment of the exchange energy are known to improve upon their semilocal forerunners and fixed-fraction hybrids. The conversion of a given semilocal functional into its short-range analog is not…

Chemical Physics · Physics 2019-09-09 Dimitri N. Laikov

Evolutions of single-particle energies and Z=64 sub-shell along the isotonic chain of N=82 are investigated in the density dependent relativistic Hartree-Fock (DDRHF) theory in comparison with other commonly used mean field models such as…

Nuclear Theory · Physics 2009-10-07 Wen Hui Long , Takashi Nakatsukasa , Hiroyuki Sagawa , Jie Meng , Hitoshi Nakada , Ying Zhang

We describe bound states, resonances and elastic scattering of light ions using a $\delta$-shell potential. Focusing on low-energy data such as energies of bound states and resonances, charge radii, asymptotic normalization coefficients,…

Nuclear Theory · Physics 2019-11-11 Benjamin K. Luna , T. Papenbrock

We study the effect of electronic interactions on the addition spectra and on the energy level distributions of two-dimensional quantum dots with weak disorder using the self-consistent Hartree-Fock approximation for spinless electrons. We…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Avraham Cohen , Klaus Richter , Richard Berkovits

Nucleus-nucleus interaction potentials in heavy-ion fusion reactions are extracted from the microscopic time-dependent Hartree-Fock theory. When the center-of-mass energy is much higher than the Coulomb barrier energy, extracted potentials…

Nuclear Theory · Physics 2009-11-13 Kouhei Washiyama , Denis Lacroix

We present a new reciprocal space analytical method to cutoff the long range interactions in supercell calculations for systems that are infinite and periodic in 1 or 2 dimensions, extending previous works for finite systems. The proposed…

Other Condensed Matter · Physics 2009-11-11 Carlo A. Rozzi , Daniele Varsano , Andrea Marini , Eberhard K. U. Gross , Angel Rubio

Background: The Hartree-Fock mean-field approximation is standard in combination with energy density functionals (EDF) that account for some dynamical correlations. Breaking and restoring the symmetries of the system allow for the inclusion…

Nuclear Theory · Physics 2023-11-20 Joshua Cesca , Cédric Simenel

We present detailed results of Unrestricted Hartree-Fock (UHF) calculations for up to eight electrons in a parabolic quantum dot. The UHF energies are shown to provide rather accurate estimates of the ground-state energy in the entire range…

Strongly Correlated Electrons · Physics 2009-11-10 Boris Reusch , Hermann Grabert

We provide accurate assessments of the consequences of violations of self-consistency in Hartree-Fock (HF) based random phase approximation (RPA) calculations of the centroid energy $E_{cen}$ of isoscalar and isovector giant resonances of…

Nuclear Theory · Physics 2009-11-11 Tapas Sil , S. Shlomo , B. K. Agrawal , P. -G. Reinhard

Generation of high harmonics in a monolayer graphene initiated by strong coherent radiation field, taking into account electron-electron Coulomb interaction is investigated. A microscopic theory describing the nonlinear optical response of…

Mesoscale and Nanoscale Physics · Physics 2018-04-04 H. K. Avetissian , G. F. Mkrtchian

We employ correlated realistic nucleon-nucleon interactions for the description of nuclear ground states throughout the nuclear chart within the Hartree-Fock approximation. The crucial short-range central and tensor correlations, which are…

Nuclear Theory · Physics 2007-05-23 R. Roth , P. Papakonstantinou , N. Paar , H. Hergert , T. Neff , H. Feldmeier